What the vertical height of a hemisphere

sergejj [24]

For the given function, we have:

Domain: (-∞, ∞)

Range: [-2, ∞)

<h3></h3><h3>How to find the domain and range of the given function?</h3>

Remember that for a function the domain is the set of the possible inputs while the range is the set of the outputs.

On the graph, we can see a quadratic equation, remember that for every polynomial the domain is the set of all the real values, the same is for this case, so we conclude that the domain is:

D: (-∞, ∞)

The range will be the set of all values larger than the minimum of the parabola, which is at the vertex.

On the graph, we can see that the minimum is y = -2, then the range is:

R: [-2, ∞)

If you want to learn more about range and domains:

brainly.com/question/10197594

#SPJ1

3 0

2 years ago

bills normal temperature is 98.6 today ballistic and has a temperature of 104.3 how many degrees above his normal temperature is

kkurt [141]

Answer:

Today's temperature is 5.7 degrees above Bill's normal temperature.

Step-by-step explanation:

Given

Represent the normal temperature with N and today's temperature with T.

Such that:

$N = 98.6$

$T = 104.3$

Required

Determine the temperature above the normal temperature

The interpretation of this is to calculate the difference between Bill's normal temperature and Bill's today temperature.

Represent the difference with D

D is calculated as follows:

$D = T - N$

Substitute values for T and N

$D = 104.3 - 98.6$

$D = 5.7$

Hence, today's temperature is 5.7 degrees above Bill's normal temperature.

4 0

3 years ago

Determine the final amount after 20 years with a 5% annual interest rate if:you invest $10 000 in an account that earns compound

alekssr [168]

Answer:

$27,014.85

Step-by-step explanation:

We're gonna use the compound interest formula: P = A(1 + r/n)^nt

P = final amount

A = starting amount (10,000)

r = rate (0.05)

n = times applied (4 since it's quarterly)

t = years (20)

P = 10,000(1 + 0.05/4)^4*20

P = 10,000(1.0125)^80

P = 27,014.84940753337

Round it to just 27,014.85

4 0

3 years ago

Do anyone know the answer???

Murrr4er [49]

Answer:

I think the answer would be B.

If the picture shows 6yd you are going to multiply 6 x 6 which = 36 yd

Hope that helps you!!!!

4 0

4 years ago

write the equation of the perpendicular bisector that goes through the line segment with end points of A -1,-2 and B -2,-8

Dennis_Churaev [7]

Answer:

2x +12y = -63 . . . in standard form

y = -1/6x -21/4 . . . in slope-intercept form

Step-by-step explanation:

It is useful to find the midpoint of the segment. That is the average of the end points:

M = ((-1, -2) +(-2, -8))/2 = ((-1-2)/2, (-2-8)/2) = (-3/2, -5)

It is also useful to find the changes in coordinates from B to A:

Δ = A-B = (-1-(-2), -2-(-8)) = (1, 6)

From here, there are a couple of ways you can write the equation of the perpendicular line.

__

One way is to use the Δ values to compute the slope of the segment. The perpendicular line will have a slope that is the negative reciprocal of that.

Δy/Δx = 6/1 = 6

m = -1/6 . . . . . slope of the perpendicular line

Now we have a point and a slope for the desired line, so we can use a point-slope form of the equation for a line:

y = m(x -h) +k

y = (-1/6)(x -(-3/2)) +(-5)

y = (-1/6)x -21/4 . . . . . . . . eliminate parentheses; point-slope form

__

Another way to write the perpendicular line is to use the Δ values directly as coefficients in the standard form equation:

Δx(x -h) +Δy(y -k) = 0

1(x -(-3/2)) + 6(y -(-5)) = 0 . . . substitute values

x +6y +31.5 = 0 . . . . . . . . . . .collect terms

2x +12y = -63 . . . . . . . . . . . . multiply by 2, put in standard form

7 0

3 years ago